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Finding the Third Proportional to 2,827,014 and 6,151,692

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Solution

The third proportional to 2,827,014 and 6,151,692 is: 13,386,320.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827,014 : 6,151,692 = 6,151,692 : x
  2. Step 2: Convert to fraction form
    2,827,014/6,151,692 = 6,151,692/x
  3. Step 3: Cross multiply
    2,827,014x = 6,151,692 × 6,151,692
  4. Step 4: Simplify right side
    2,827,014x = 37,843,314,462,864
  5. Step 5: Solve for x
    x = 37,843,314,462,864/2,827,014
  6. Step 6: Final answer
    x = 13,386,320.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.